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Simplifying 2w + -6(w + 8) = 12 Reorder the terms: 2w + -6(8 + w) = 12 2w + (8 * -6 + w * -6) = 12 2w + (-48 + -6w) = 12 Reorder the terms: -48 + 2w + -6w = 12 Combine like terms: 2w + -6w = -4w -48 + -4w = 12 Solving -48 + -4w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -4w = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -4w = 12 + 48 -4w = 12 + 48 Combine like terms: 12 + 48 = 60 -4w = 60 Divide each side by '-4'. w = -15 Simplifying w = -15
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